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4890203136 = 21032741317
BaseRepresentation
bin1001000110111101…
…01001010000000000
3110121210210001120200
410203132221100000
540003343000021
62125130005200
7232120020000
oct44336512000
913553701520
104890203136
11208a434aa5
12b45876800
135cc197b30
14345680000
151d94b9126
hex1237a9400

4890203136 has 660 divisors, whose sum is σ = 18783427572. Its totient is φ = 1213857792.

The previous prime is 4890203117. The next prime is 4890203137. The reversal of 4890203136 is 6313020984.

It can be written as a sum of positive squares in 2 ways, for example, as 2212761600 + 2677441536 = 47040^2 + 51744^2 .

It is a super-2 number, since 2×48902031362 = 47828173422688468992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4890203136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4890203137) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 287659000 + ... + 287659016.

Almost surely, 24890203136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4890203136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9391713786).

4890203136 is an abundant number, since it is smaller than the sum of its proper divisors (13893224436).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4890203136 is a wasteful number, since it uses less digits than its factorization.

4890203136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4890203136 is about 69929.9873873862. The cubic root of 4890203136 is about 1697.3665265089.

The spelling of 4890203136 in words is "four billion, eight hundred ninety million, two hundred three thousand, one hundred thirty-six".